By not consuming iodized salt, you will have some degree of iodine deficiency and thyroid hormones may be suboptimal. Hormone fT3 regulates mitochondrial metabolic rate and mitochondria make ATP, the universal currency of cellular energy. This can lower your energy levels and lead to weight gain and lethargy. Symptoms include weight gain, low energy, maybe feeling cold easier than before, mood/depression issues.
You can check your overall thyroid function by checking oral body temperatures as suggested in the thyroid basics sticky.
TSH in your lab work suggested above addresses thyroid.
Meanwhile, explain to your doc that you have not been getting any iodine. Should be interesting, most docs do not have this on their radar screens.
Restaurants typically do not use iodized salt. Prepared foods typically do not use iodized salt. You are not using salt at home. Salt has been iodized for nearly 100 years to address iodine deficiencies. Perhaps in ?Hawaii? there is more iodine in the environment and local produce. Sea food is another source. Iodine is part of the structure of T3, T4 hormones.
Most of the symptoms of low thyroid function and low-T are the same. Many guys here have both.